Kirby wrote; We can have the exact same cube and pass it back and forth and yet not assign it the same volume. - ---------------------------------------
I always taught that in mathematics we not assigning volume rather derive it from a object, if we would assign ANY vol. well than, why to bother with mathematics at all, what would be it's purpose.
Like this nonsense; sqr2 edge cube vol. 2.828427125 x 1.060660172 = 3
This is a synergetics achievement, Fuller have invented it and hand-full of educators actually dig it. But can you rely on this, is this cube holds 2.828427125 cubic cm of rice or 3 cubic cm of rice, or it does not matter.
We made a cube of a **certain** size in to a altered vol. of 3. So if we can do it, well than, we can make cubes of SAME size to have different vol. and cubes of different sizes to be the same volume. Does anyone see, Kirby's logic, or Fuller's logic, should we pass THIS on to a already damaged education system, and if yes to what end, Well anyway I would appreciate some responses, after all Kirby is trying to introduce the beauty of synergetics it's simplicity, it's application, and pragmatism to our kids .